138829098496 has 160 divisors (see below), whose sum is σ = 313102817280. Its totient is φ = 60924518400.

The previous prime is 138829098487. The next prime is 138829098533. The reversal of 138829098496 is 694890928831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112960410 + ... + 112961638.

It is an arithmetic number, because the mean of its divisors is an integer number (1956892608).

Almost surely, 2^138829098496 is an apocalyptic number.

138829098496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138829098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156551408640).

138829098496 is an abundant number, since it is smaller than the sum of its proper divisors (174273718784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138829098496 is a wasteful number, since it uses less digits than its factorization.

138829098496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 67.

The spelling of 138829098496 in words is "one hundred thirty-eight billion, eight hundred twenty-nine million, ninety-eight thousand, four hundred ninety-six".